Help pls, teacher gave me work w no explanation on how to do it
1 answer:
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9514 1404 393
Answer:
- perimeter: 16 units
- area: 15 square units
Step-by-step explanation:
The dimensions of the rectangle are 3 by 5 units, so the perimeter is ...
P = 2(W+L) = 2(3+5) = 16 . . . units
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The area is ...
A = WL = (3)(5) = 15 . . . square units
9514 1404 393
Answer:
not a right triangle
Step-by-step explanation:
The perimeter is 22, so we have ...
AB +BC +CA = 22
8 + 5 + CA = 22
CA = 22 -13 = 9
If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.
AB² +BC² = 8² +5² = 64 +25 = 89
This is not the same as ...
CA² = 9² = 81
The triangle is not a right triangle.
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<em>Additional comment</em>
If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)
